Solution :
Initial population, P = 752,000 .
Rate of decrease, r = 1.4 % .
Now, population decrease in 1st year :
[tex]P_1 = P( 1 - 0.014 )[/tex]
Also, population decrease in 2nd year :
[tex]P_2 = P_1( 1 -0.014 )\\\\P_2 = P( 1 - 0.014)^2[/tex]
Similarly for each next x year, population will be :
[tex]P_x = P( 1-0.014)^x[/tex]
Therefore, population after x years is given by :
[tex]P_x = 752000 ( 1-0.014)^x[/tex]
Anthony downloaded 8 total items onto his phone. The games he purchased were $2.00 each and songs were $1.00. How many of each did he buy after spending $11.00?
Answer:
he downloaded 9 songs and 1 game
Step-by-step explanation (3x2= 6) (5x1= 5) (3+5= 8) $6.00 + $5.00 = $11.00
so add 3 items to the games that would be $6.00 so 5 items would remain put the rest of those items into the music that would be 5x1 =$5.00. So $6.00+$5.00= $11.00 so the answer is $11.00.
If two lines are parallel, and one line has a slope of 3/2, what is the slope of the other line?
A baseball team had 80 players show up for tryouts last year and this year had 96 players show up for tryouts. Find the percent increase in players from last year to this year.
(Please dont just give the answer. I would appreciate it if you would put how to find the answer. Thanks )
Answer: x/100 = 96 - 80/80
so you multiply 80 times x and multiply 96-80 by 100 so
80x=1600
x= 20%
Step-by-step explanation:
Help Please! △ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △ABC sum to 180°, which of the following will be shown? Select the two correct answers.
∠1≅∠B
∠1≅∠C
m∠1+m∠BAC+m∠2=180°
m∠BAC+m∠C+m∠2=180°
∠2≅∠A
not sure but i thibj the second one
Help me please. Id appreciate it greatly
Answer:
1.39
2.4/5
3. 4/5t+39
4. 4
5.4/3
6.4/3g+4
i hope i got this right.
Simplify 3 ( x + 2 ) − 2 ( x 2 + 2x − 4 ).
Which of the polynomials below represents the answer written in standard form?
Select one:
a. - 2x 2 − x + 14
b. - 2 + 7x + 2x 2
c. - 3x 4 + 14
d. 2x 2 + 7x − 2
Answer:
The polynomials that represents the answer is -2x² - x + 14 ⇒ a
Step-by-step explanation:
Let us solve the question
∵ The expression is 3(x + 2) - 2(x² + 2x - 4)
→ Multiply each bracket by the number before it
∵ 3(x + 2) = 3(x) + 3(2)
∴ 3(x - 2) = 3x + 6
∵ 2(x² + 2x - 4) = 2(x²) + 2(2x) + 2(-4)
∴ 2(x² + 2x - 4) = 2x² + 4x + (-8)
→ Remember (+)(-) = (-)
∴ 2(x² + 2x - 4) = 2x² + 4x - 8
∴ 3(x + 2) - 2(x² + 2x - 4) = (3x + 6) - (2x² + 4x - 8)
→ Multiply the (-) by all the terms in the 2nd bracket
∴ 3(x + 2) - 2(x² + 2x - 4) = 3x + 6 - 2x² - 4x + 8
→ Add the like terms
∵ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (3x - 4x) + (6 + 8)
∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (-x) + 14
∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² - x + 14
∴ The polynomials that represents the answer is -2x² - x + 14
Suppose M(3-1) is the midpoint and B has coordinates (1,4). What are the coordinates of A?
please help me!!!!! im confused
Answer:
The interest is: $2550.00
Step-by-step explanation:
I = P x r x t
P is the principal amount, $12000.00.
r is the interest rate, 4.25% per year, or in decimal form, 4.25/100=0.0425.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 12000 × 0.0425 × 5 to get that:
The interest is: $2550.00
help me pleaseee pleaseee
Answer:
x = 3
m<PAW = 1
Step-by-step explanation:
☆They are supplementary angles.
☆Supplementary angles equal 180 degrees.
[tex]- 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]
☆Plug in for m<AEZ
[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]
☆m<PAW is corresponding to m<AEZ
☆Corresponding angles are congruent.
☆m<PAW equals 1.
The sides of a triangle in cm, are , x , 2x – 5 and 2x – 3 . The perimeter of the triangle is 32 cm . i) Write down an equation for x
9514 1404 393
Answer:
32 = (x) +(2x -5) +(2x -3)
Step-by-step explanation:
The perimeter is the sum of the side lengths:
P = a + b + c
32 = (x) +(2x -5) +(2x -3)
__
This can be simplified to ...
32 = 5x -8
and solved to find x:
x = (32 +8)/5 = 8
Which one!?!?
Help please
Answer:
Option 1
hope this helped :D
Can the remainder be greater than the quotient?
Yes and no it depends
but it is possible
Answer:
Yes
Step-by-step explanation:
Yes, the quotient is the answer to a division question. An example of this is 5/3. The quotient is 1 and the remainder is 2. If it replaced quotient with divisor, then the answer would be no.
Help me with this thing thanks anoarefi
Answer:
1. 8
2. 16
Step-by-step explanation:
8/4=2
64/4=16
Answer:
The answers are
1. x=8
2. x=16
MARKING BRAINLIEST!!!!
Answer:
12
Step-by-step explanation
Find the slope of the line that passes through (9,4) and (4,11)
Help please will give brainliesy
Answer:
You will select both x = 1 + 5sqrt(2) and x = 1 - 5sqrt(2)
Step-by-step explanation:
Firstly you have to take the square root of both sides to get rid of the exponent. (x - 1)^2 = 50 becomes x - 1 = +- sqrt(50)
Then you simplify the right. x - 1 = +- 5sqrt(2)
The answer is both the positive and negative versions.
What is the probability that you flip a penny 4 times and it lands on tails all four times in a row?
Group of answer choices
1/8
1/16
1/4
1/2
Answer: 1/8
Step-by-step explanation:
Since flipping a coin once and it landing on tails is 1/2, multiply it by however many times you flip it, and that will be you're answer.
HEEEELP PLEASE I NEED HELP DONT SAY "I DONT KNOW" PLEASE
Step-by-step explanation:
Time taken to complete the race
= Distance / Speed
= 56 miles / (14 miles/hr)
= 4 hours. (B)
Answer:
B. 4 hours
Step-by-step explanation:
If the distance is total of 56 miles and he travels 14 miles per hour,
divide 56/14
56/14=4
4 hours to complete the 56-mile race
I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation!
Answer:
1
Step-by-step explanation:
if you substitute 1 in for x, you would see that 5 = 5
hope this helps!
6r +9r - 2r - 13n combine like terms.
Answer:
13r-13n
Step-by-step explanation:
just add 9r+6r get 15r then subtract it by 2r then you get 13r and you can't subtract unlike terms
Answer:
13r-13n
Step-by-step explanation:
6r+9r = 15r
15r-2r = 13r
13r-13n
How do you solve 4x^2 + 44x + 96 step by step?
Answer:
60x+96
Step-by-step explanation:
4x^2= 16x
16x+44x+96
60x+96
ur welcome lol
There are 32 students on a large bus, and the rest are on a smaller bus. If 30% of the students are on the smaller bus, how many total students are on the two buses?
Answer:
46 total
Step-by-step explanation:
32 on large bus
30% on small bus
32 =70%
100%=32/70 x(100)=46
Convert 30% into a fraction and shade the circle according to the result.
Answer:
3/10 shade 3 in
Step-by-step explanation:
a 100oz bottle costs $2.97 and a 200oz bottle costs $5.78 what is the unit price of each one?
Answer: BOTTLE 1 =0.0297 BOTTLE 2 =0.0289
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50 km is covered in 5.5 hours, the unit rate will be 50 km/5.5 hours = 9.09 km/hour
bottle 1: $2.97/100 oz = unit rate
bottle 2: $5.78/200 oz=unit rate
BOTTLE 1 =0.0297
BOTTLE 2 =0.0289
Lincoln constructs a triangle with one side 5 inches long and another side 7 inches long. Which is NOT a possible length for the third side?
12 inches
3 inches
6 inches
11 inches
Answer:
Step-by-step explanation:
I can help
what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin
Answer:(-8,-4)
Step-by-step explanation:
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Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
∠ABC = 60° , ∠BAC = 60° & ∠ACD = x °[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of x[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }
[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]
[tex] \sf{x \degree = 120 \degree}[/tex]
[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Which equation best represents the relationship between x and y in the graph? A) y = - 3 4 x - 3 B) y = - 4 3 x - 3 C) y = - 3 4 x - 4 D) y = - 4 3 x - 4
In the graph of an inequality, the region to the right of a dashed vertical line
through the point
(-4,0) is shaded. What inequality does the graph represent?
Answer:
x is greater than -4
Step-by-step explanation:
Answer:
x > -4
Step-by-step explanation:
how can you round 0.234 to the nearest hundredth?
Answer:
0.23 or 0.230
Step-by-step explanation:
You can round it by looking at the hundredths place.
Look to the thousandths place, if its 5 or more, you round up, if its 4 or less you round down.
Answer:
the way that you do this is
Step-by-step explanation:
so the number goes from 0 as in the whole number and then the decimal indicates that the whole number getting separated by a whole bunch of other numbers which go by smaller factors they go from ten hundred thousand and so forth so for this equation you have 0.234 the hundreds is the three the reason why is because the two is the tenths and the four is the thousands the reason why it's the thousands is because there's four numbers in the entire number. so that number (0.234) would be 0.23 rounded to the nearest hundreth because the 4 is less than 5 which makes the number go lower. If it was 0.238 then the answer would now be 0.24 because it's higher then 5. please give me brainliest.